Greatest Common Factor of 2938 and 2940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2938, 2940 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2938 and 2940 is 2.

GCF(2938,2940) = 2

GCF of 2938 and 2940

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2938 and 2940

GCF of 2938 and 2940 is 2

Prime Factorization of 2938


2 2938
13 1469
113 113
1

Prime factors of 2938 are 2,13,113. Prime factorization of 2938 in exponential form is:

2938 = 21×131×1131

Prime Factorization of 2940


2 2940
2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 2940 are 2,3,5,7. Prime factorization of 2940 in exponential form is:

2940 = 22×31×51×72

∴ So by taking common prime factors GCF of 2938 and 2940 is 2

Greatest Common Factor of 2938 and 2940 by matching factors method

Factors of 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1,2,13,26,113,226,1469,2938

Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940

Greatest Common Factor

We found the factors and prime factorization of 2938 and 2940. The biggest common factor number is the GCF number.
So the greatest common factor 2938 and 2940 is 2.

Also check out the Least Common Multiple of 2938 and 2940

Properties of GCF 2938 and 2940

(i) The GCF of 2938 and 2940 is associative

GCF of 2938 and 2940 = GCF of 2940 and 2938

Related Greatest Common Factor of 2938

Related Greatest Common Factor of 2940

Frequently Asked Questions on GCF of 2938 and 2940

1. What is the GCF of 2938 and 2940?

Answer: GCF of 2938 and 2940 is 2.

2. What are the Factors of 2938?

Answer: Factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938. There are 8 integers that are factors of 2938. The greatest factor of 2938 is 2938.

3. What are the Factors of 2940?

Answer: Factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940. There are 36 integers that are factors of 2940. The greatest factor of 2940 is 2940.

4. How to Find the GCF of 2938 and 2940?

Answer:

Greatest Common Factor of 2938 and 2940 = 2

Step 1: Find the prime factorization of 2938

2938 = 2 x 13 x 113

Step 2: Find the prime factorization of 2940

2940 = 2 x 2 x 3 x 5 x 7 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2938 and 2940 is 2